100331122313 has 8 divisors (see below), whose sum is σ = 101017005000. Its totient is φ = 99645406848.

The previous prime is 100331122301. The next prime is 100331122319. The reversal of 100331122313 is 313221133001.

It can be written as a sum of positive squares in 4 ways, for example, as 12784372624 + 87546749689 = 113068^2 + 295883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100331122313 - 2⁸ = 100331122057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100331122319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311095 + ... + 1385507.

It is an arithmetic number, because the mean of its divisors is an integer number (12627125625).

Almost surely, 2^100331122313 is an apocalyptic number.

It is an amenable number.

100331122313 is a deficient number, since it is larger than the sum of its proper divisors (685882687).

100331122313 is an equidigital number, since it uses as much as digits as its factorization.

100331122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83611.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100331122313 its reverse (313221133001), we get a palindrome (413552255314).

The spelling of 100331122313 in words is "one hundred billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred thirteen".